sposoby ograniczania strat ciepła w sieciach ciepłowniczych
DESCRIPTION
Sposoby ograniczania strat ciepła w sieciach ciepłowniczych. Zadania ciepłownictwa. Promocja ciepła sieciowego. Podwyższenie sprawności wytwarzania, i dystrybucji energii. - PowerPoint PPT PresentationTRANSCRIPT
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Sposoby ograniczania strat ciepa w sieciach ciepowniczych
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Zadania ciepownictwa Promocja ciepa sieciowego. Podwyszenie sprawnoci wytwarzania, i dystrybucji energii. Zwikszenie stopnia wykorzystania energii pierwotnej w sektorze energetycznym i obnienie energochonnoci sektora publicznego. Obnienie emisji zanieczyszcze do atmosfery. i wiele innych...
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Straty ciepa w sieciach ciepowniczychStraty ciepa w sieciach kanaowych obliczenia zgodnie z norm PN-85/B-02421,Straty ciepa w sieciach preizolowanych izolacja Standard,Straty ciepa w sieciach preizolowanych izolacja Plus,Zmiana gruboci izolacji aspekty ekonomiczneStraty ciepa sieci preizolowanych w zalenoci od stosowanego systemu surowcowego PUR i sposobu produkcji,Zmiana parametrw pracy sieci ciepowniczejSystemy wielorurowe system rur TwinPipe
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Straty ciepa w sieciach kanaowych PN-85/B-02421Porwnanie strat ciepa rurocigu w kanale betonowym i rury preizolowanej.Straty ciepa rurocigu kanaowego przyjte max. wg PN-85/B-02421 tabl Z1-1Straty ciepa rur preizolowanych wg PN-EN 13941:2006 lPUR=0.0280 W/mKredukcja strat ciepa w stosunku do rury kanaowejIzolacja Standard28%Izolacja Plus43%redukcja strat ciepa w stosunku do rury kanaowejIzolacja Standard38%Izolacja Plus51%
Chart1
17.700935147115.095214626430
21.742596637617.938945703233
22.200503383319.531304021934
25.65842461322.158509702336
28.743494033124.865215698741
34.043979797127.98378261946
35.098011504929.345102854647
36.687245307430.546555994152
42.758533798635.358316696255
51.009576427540.251570490263
55.438489641142.45696043671
53.069750793441.169905019783
61.258786669247.183610551788
59.370314260353.573635612994
80.356655658263.009651261297
96.31258062263.2278311573104
91.685149475460.859076081106
81.481228561663.6849065971117
85.354810088360.2844033808129
96.692308469767.8372937161144
107.696227553175.1769649381152
119.435772343882.862837549165
izol seria1 (standard)
izol seria 2 (PLUS)
PN-85/B-02421
jednostkowe straty ciepa W/m
Jednostkowe straty ciepa -porwnanie dla to=1300C
rury stalowe
redn. Nomint min grubo cianki wg EN254jednostkowa masa rury t wg EN253grubo cianki LOGSTORjednostkowa masa rury t wg Logstorodlegoc pomidzy rurami stal dla TWINPIPE
mmmmmmkg/1mmmkg/1mmm
1521.32.01.02.21.019.0
2026.92.01.22.61.619.0
2533.72.31.82.62.019.0
3242.42.62.62.62.619.0
4048.32.62.92.62.919.0
5060.32.94.12.94.120.0
6576.12.95.22.95.220.0
8088.93.26.83.26.825.0
100114.33.69.83.69.825.0
125139.73.612.13.612.130.0
150168.34.016.24.016.240.0
200219.14.523.84.523.840.0
250273.05.033.05.033.045.0
300323.95.644.05.644.0
350355.65.648.35.648.3
400406.46.362.26.362.2
450457.26.370.16.370.1
500508.06.377.96.377.9
550558.86.385.86.385.8
600609.67.1105.57.1105.5
700711.08.0138.78.0138.7
800813.08.8174.58.8174.5
900914.010.0222.910.0222.9
10001016.011.0272.611.0272.6
11001118.011.0300.311.0300.3
12001220.012.5372.212.5372.2
paszcze zewn
nomin redn paszczagrubo paszczamax dopuszcz redn wg EN253obwody paszczy Logstorredn redn Logstor
minmaxrednia
mmmmmmmmmmkg/1mkg/1mkg/1m
753.07900.00.60.7-0.0
903.095290297293.593.40.80.80.8
1103.0116349357353.0112.40.91.01.0
1253.0132399407403.0128.31.11.11.1
1403.0147449458453.5144.41.21.31.3
1603.0168511520515.5164.11.41.51.4
1803.0189570580575.0183.01.61.61.6
2003.2206631641636.0202.41.91.91.9
2253.4232712722717.0228.22.22.32.3
2503.6258800810805.0256.22.62.72.7
2803.9289887898892.5284.13.23.33.2
3154.13259901001995.5316.93.83.93.8
3554.5366111611471131.5360.24.74.84.7
4004.8412125712871272.0404.95.65.85.7
4505.2464141414451429.5455.06.87.06.9
5005.6515157116041587.5505.38.28.48.3
5205.7163416701652.0525.88.78.8
5606.0577176018051782.5567.49.810.19.9
6306.6649198020292004.5638.112.212.512.3
7107.2732223122842257.5718.614.915.415.1
7807.8245125092480.0789.417.818.0
8007.9824251425682541.0808.818.519.018.7
8408.2263926812660.0846.720.120.3
9008.7927282828752851.5907.722.923.623.1
10009.41030314232223182.01012.927.528.327.9
110010.21133345635443500.01114.132.833.833.3
120011.01236377038633816.51214.838.639.839.1
130011.8408541664125.51313.244.945.3
140012.51442439944724435.51411.951.252.851.7
jedn standard
8.00
0.0280W/mK
50.00W/mK
0.40W/mK
1.60W/mK
naziom nad rurocigiem H=1.00m
rura przewodowaizol seria1 (standard)izol seria 2 (PLUS)izolacja standardPLUSstraty ciepa izolacja standardstraty ciepa izolacja PLUSPN-85/B-02421
opornoc cieplna rury stalowej Roopornoc cieplna rury PE-HD Rcopornoc cieplna gruntu Rsoporno cieplna izolacji Risumaryczna oporno cieplna Ropornoc cieplna rury PE-HD Rcopornoc cieplna gruntu Rsoporno cieplna izolacji Risumaryczna oporno cieplna R
grub cianki rury togrub osony PH-HD tcgrub osony PH-HD tc150130110907050150130110907050150130110907050
mmmmmmmmmmmmmmseria 1seria 2W/mW/mW/mW/mW/mW/mW/mW/mW/mW/mW/mW/mW/mW/mW/mW/mW/mW/m
2026.92.690.03.0110.03.00.000680.027450.391726.472446.892290.022320.372627.686418.0820320.617.714.811.99.06.117.615.112.610.17.75.234.030.026.020.016.010.0
2533.72.690.03.0110.03.00.000530.027450.391725.191405.611110.022320.372626.405386.8008525.321.718.214.611.07.520.917.915.012.19.16.237.033.029.023.018.011.0
3242.42.6110.03.0125.03.00.000420.022320.372625.100025.495370.019570.360545.865866.2463825.822.218.614.911.37.622.719.516.313.19.96.740.034.030.026.020.013.0
4048.32.6110.03.0125.03.00.000360.022320.372624.359484.754770.019570.360545.125315.5057929.925.721.517.213.08.825.822.218.514.911.37.643.036.032.028.022.014.0
5060.32.9125.03.0140.03.00.000320.019570.360543.864014.244440.017430.349904.538804.9064533.528.724.019.314.69.928.924.920.816.712.68.646.041.036.031.024.015.0
6576.12.9140.03.0160.03.00.000250.017430.349903.216023.583600.015210.337464.006754.3596739.634.028.522.917.311.732.628.023.418.814.29.651.046.040.034.026.016.0
8088.93.2160.03.0180.03.00.000240.015210.337463.123083.475980.013490.326573.817124.1574240.935.129.323.617.812.134.229.324.519.714.910.153.047.042.036.029.017.0
100114.33.6200.03.2225.03.40.000210.012940.316922.995343.325410.012210.306233.675263.9939042.736.730.724.718.612.635.630.525.520.515.510.560.052.047.039.033.019.0
125139.73.6225.03.4250.03.60.000170.012210.306232.534632.853230.011630.296763.141843.4503949.842.835.728.721.714.741.235.429.623.818.012.265.055.050.041.035.020.0
150168.34.0250.03.6280.03.90.000160.011630.296762.083172.391710.011240.286692.732863.0309459.451.042.634.325.917.646.940.333.727.120.513.972.063.054.046.039.022.0
200219.14.5315.04.1355.04.50.000130.010490.276351.913662.200640.010220.266022.597132.8735064.555.446.437.328.219.149.442.535.528.521.614.681.071.063.052.041.024.0
250273.05.0400.04.8450.05.20.000120.009670.255872.033202.298860.009300.246042.707872.9633361.853.144.435.727.018.347.941.234.427.720.914.294.083.073.060.048.029.0
300323.95.6450.05.2500.05.60.000110.009300.246041.736101.991550.009010.237402.339112.5856471.361.351.241.231.121.154.947.239.431.724.016.2102.088.076.065.055.030.0
350355.65.6500.05.6520.05.70.000100.009010.237401.808382.054900.008820.234232.034092.2772469.159.449.639.930.220.462.453.644.836.027.218.4109.094.082.068.057.032.0
400406.46.3520.05.7560.06.00.000100.008820.234231.275081.518230.008620.228301.699191.9362193.580.467.254.040.827.773.363.052.742.432.021.7110.097.084.069.059.036.0
450457.26.3560.06.0630.06.60.000090.008620.228301.029701.266710.008430.219061.701961.92953112.196.380.564.748.933.273.663.252.942.532.121.8121.0104.090.074.063.039.0
500508.06.3630.06.6710.07.20.000080.008430.219061.103081.330640.008150.209921.786482.00463106.791.776.761.646.631.670.860.950.940.930.921.0125.0106.093.077.065.040.0
600609.67.1780.07.8840.08.20.000080.008040.202921.286251.497280.007850.197521.710241.9156894.881.568.154.841.428.174.163.753.242.832.421.9135.0117.0102.081.069.046.0
700711.08.0900.08.71000.09.40.000070.007770.192591.228901.429330.007550.185241.830872.0237499.385.471.457.443.429.470.260.350.440.530.620.8147.0129.0109.088.070.052.0
800813.08.81000.09.41100.010.20.000070.007550.185241.068871.261730.007450.178811.612101.79842112.596.780.865.049.133.379.067.856.745.634.523.4164.0144.0122.099.079.058.0
900914.010.01100.010.21200.011.00.000070.007450.178810.946491.132820.007360.173101.442301.62284125.4107.790.072.454.737.187.575.262.950.538.225.9173.0152.0127.0104.085.060.0
10001016.011.01200.011.01300.011.80.000070.007360.173100.840931.021470.007290.168011.296941.47231139.0119.499.980.360.741.196.482.969.355.742.128.5190.0165.0138.0111.093.065.0
130 C
130 C
17.700935147115.095214626430
21.742596637617.938945703233
22.200503383319.531304021934
25.65842461322.158509702336
28.743494033124.865215698741
34.043979797127.98378261946
35.098011504929.345102854647
36.687245307430.546555994152
42.758533798635.358316696255
51.009576427540.251570490263
55.438489641142.45696043671
53.069750793441.169905019783
61.258786669247.183610551788
59.370314260353.573635612994
80.356655658263.009651261297
96.31258062263.2278311573104
91.685149475460.859076081106
81.481228561663.6849065971117
85.354810088360.2844033808129
96.692308469767.8372937161144
107.696227553175.1769649381152
119.435772343882.862837549165
izol seria1 (standard)
izol seria 2 (PLUS)
PN-85/B-02421
jednostkowe straty ciepa W/m
Jednostkowe straty ciepa -porwnanie dla to=1300C
90 C
90 C
11.89734985310.145963929220
14.613876428512.057324161223
14.92164981513.127597785226
17.245826379214.89342455428
19.319397628816.712685961431
22.882019207918.808771924234
23.590466749219.723757656436
24.658640288620.531291733739
28.739342389223.765425976241
34.285125139827.054334263946
37.261935660428.53664553952
35.669832500527.671575505160
41.173938580931.713574305365
39.904637453636.008509182468
54.010211180142.350749208369
64.734685336142.497394712374
61.624444729440.905280644677
54.766071656242.804609352281
57.369626452840.519025223288
64.989912250145.595558071599
72.385989011150.5287797125104
80.276502722955.6946940903111
izol seria1 (standard)
izol seria 2 (PLUS)
PN-85/B-02421
jednostkowe straty ciepa W/m
Jednostkowe straty ciepa -porwnanie dla to=900C
70 C
70 C
8.99555720597.671338580616
11.0495163249.116513390218
11.28222303099.925744666920
13.039527262411.260881979922
14.607349426712.636421092824
17.301038913314.221266576926
17.836694371314.913085057329
18.644337779215.523659603533
21.729746684517.968980616135
25.922899495920.455716150839
28.173658670121.576488090441
26.96987335420.922410747748
31.131514536823.97855618255
30.171799050327.225945967257
40.836988941132.021298181959
48.945737693232.132176489863
46.594092356430.928382926465
41.408493203532.364460729769
43.37703463530.636336144470
49.138714140334.474690249279
54.730869740138.204687099785
60.696867912442.11062236193
izol seria1 (standard)
izol seria 2 (PLUS)
PN-85/B-02421
jednostkowe straty ciepa W/m
Jednostkowe straty ciepa -porwnanie dla to=700C
straty z upywem czasu
8.00
50.00W/mK
0.40W/mK
1.60W/mK
naziom nad rurocigiem H=1.00m
kolejny rok eksploatacjirura przewodowaizol seria1 (standard)CP met. tradycyjnaCP met. conticonti z barier anty dyfuz.
opornoc cieplna rury stalowej Roopornoc cieplna rury PE-HD Rcopornoc cieplna gruntu Rssumaryczna oporno cieplna R130110907050sumaryczna oporno cieplna R130110907050sumaryczna oporno cieplna R130110907050sumaryczna oporno cieplna R130110907050
grub cianki rury togrub osony PH-HD tc
latammmmmmmmmmseria 1W/mKW/mW/mW/mW/mW/m
05060.32.9125.03.00.000320.019570.360540.03093.88431.426.321.116.010.80.02724.35728.023.418.814.29.60.02454.79525.421.317.112.98.80.02454.79625.421.317.112.98.8
10.03293.66533.327.822.416.911.50.02724.35528.023.418.814.29.60.02454.79325.521.317.112.98.80.02454.79625.421.317.112.98.8
20.03463.50534.829.123.417.712.00.02734.34828.123.518.914.39.70.02464.78425.521.317.113.08.80.02454.79625.421.317.112.98.8
30.03603.38836.030.124.218.312.40.02744.33428.223.518.914.39.70.02474.76625.621.417.213.08.80.02454.79625.421.317.112.98.8
40.03703.30436.930.924.818.812.70.02754.31228.323.719.014.49.70.02484.74025.721.517.313.18.90.02454.79625.421.317.112.98.8
50.03783.24237.631.525.319.113.00.02774.28528.523.819.114.59.80.02504.70725.921.717.413.28.90.02454.79625.421.317.112.98.8
60.03843.19738.231.925.619.413.10.02794.25428.724.019.314.69.90.02524.66926.121.817.613.39.00.02454.79625.421.317.112.98.8
70.03893.16538.532.225.919.613.30.02824.22028.924.219.414.710.00.02554.62726.422.017.713.49.10.02454.79625.421.317.112.98.8
80.03923.14138.832.526.119.713.40.02844.18529.124.419.614.810.00.02574.58526.622.217.913.59.20.02454.79625.421.317.112.98.8
90.03943.12439.132.726.319.813.40.02874.15129.424.619.814.910.10.02604.54326.922.518.113.69.20.02454.79625.421.317.112.98.8
100.03963.11139.232.826.419.913.50.02894.11829.624.819.915.110.20.02624.50327.122.718.213.89.30.02454.79625.421.317.112.98.8
110.03983.10239.332.926.420.013.50.02924.08829.825.020.115.210.30.02654.46627.322.818.413.99.40.02454.79625.421.317.112.98.8
120.03983.09539.433.026.520.013.60.02944.06030.125.120.215.310.30.02674.43227.523.018.514.09.50.02454.79625.421.317.112.98.8
130.03993.09139.533.026.520.113.60.02964.03430.225.320.315.410.40.02694.40127.723.218.614.19.50.02454.79625.421.317.112.98.8
140.04003.08739.533.026.620.113.60.02984.01230.425.420.415.510.50.02714.37327.923.318.714.29.60.02454.79625.421.317.112.98.8
150.04003.08539.633.126.620.113.60.03003.99130.625.620.515.510.50.02734.34928.123.518.914.39.70.02454.79625.421.317.112.98.8
160.04003.08339.633.126.620.113.60.03013.97330.725.720.615.610.60.02744.32728.223.618.914.39.70.02454.79625.421.317.112.98.8
170.04013.08139.633.126.620.113.60.03023.95730.825.820.715.710.60.02754.30828.323.719.014.49.70.02454.79625.421.317.112.98.8
180.04013.08039.633.126.620.113.60.03043.94330.925.920.815.710.70.02774.29128.423.819.114.49.80.02454.79625.421.317.112.98.8
190.04013.08039.633.126.620.113.60.03053.93131.025.920.915.810.70.02784.27628.523.919.214.59.80.02454.79625.421.317.112.98.8
200.04013.07939.633.126.620.113.60.03063.92031.126.020.915.810.70.02794.26328.623.919.214.59.90.02454.79625.421.317.112.98.8
210.04013.07939.633.126.620.113.60.03073.91031.226.121.015.910.70.02804.25128.724.019.314.69.90.02454.79625.421.317.112.98.8
220.04013.07939.633.126.620.113.60.03073.90131.326.121.015.910.80.02804.24028.824.119.314.69.90.02454.79625.421.317.112.98.8
230.04013.07839.633.126.620.113.60.03083.89431.326.221.115.910.80.02814.23128.824.119.414.79.90.02454.79625.421.317.112.98.8
240.04013.07839.633.126.620.113.60.03093.88731.426.221.116.010.80.02824.22328.924.219.414.79.90.02454.79625.421.317.112.98.8
250.04013.07839.633.126.620.113.60.03093.88031.426.321.116.010.80.02824.21528.924.219.514.710.00.02454.79625.421.317.112.98.8
260.04013.07839.633.126.620.113.60.03103.87531.526.321.216.010.80.02834.20929.024.219.514.710.00.02454.79625.421.317.112.98.8
270.04013.07839.633.126.620.113.60.03103.87031.526.421.216.010.90.02834.20329.024.319.514.810.00.02454.79625.421.317.112.98.8
280.04013.07839.633.126.620.113.60.03103.86631.626.421.216.010.90.02834.19729.124.319.514.810.00.02454.79625.421.317.112.98.8
290.04013.07839.633.126.620.113.60.03113.86131.626.421.216.110.90.02844.19329.124.319.614.810.00.02454.79625.421.317.112.98.8
300.04013.07839.633.126.620.113.60.03113.85831.626.421.316.110.90.02844.18829.124.419.614.810.00.02454.79625.421.317.112.98.8
straty 130 C
straty 130 C
31.4079185327.999213983725.440899625725.4355336338
33.292131423928.011145755225.453040889925.4355336338
34.811317470428.059597198125.502342932625.4355336338
36.006544751628.152548695625.59692586125.4355336338
36.928895366828.290522733925.737320571325.4355336338
37.630108023428.468615869925.918536534625.4355336338
38.157167030728.678117515326.131709281725.4355336338
38.549945095228.908393240226.366017055725.4355336338
38.840788235229.148692675626.610520615925.4355336338
39.055132994329.389514150426.855551828425.4355336338
39.212549257529.623363278527.093485439525.4355336338
39.327860455729.844956864827.318946383425.4355336338
39.412169941830.051042550127.528626096925.4355336338
39.473727863930.24002193627.720898917825.4355336338
39.518628775630.411522521227.89538644825.4355336338
39.551355917630.566005480628.052558434525.4355336338
39.575197165730.704447617228.193409149625.4355336338
39.592558410630.828104456828.319216352525.4355336338
39.605197321430.938345418728.431373595425.4355336338
39.614396494931.036546209228.531280754725.4355336338
39.621091065831.124023404928.620277489225.4355336338
39.625962414531.201998454528.699606626925.4355336338
39.629506801531.271581231828.770397443125.4355336338
39.632085543731.333765976928.833661539425.4355336338
39.633961645631.389434654528.890296268625.4355336338
39.635326516731.439364410128.941092324725.4355336338
39.636319443431.48423697828.986743319725.4355336338
39.637041773331.524648710429.0278559925.4355336338
39.637567244631.561120437129.064960230625.4355336338
39.637949504431.59410672129.09851851225.4355336338
39.638227581731.624004294529.128934466425.4355336338
CO2 met. tradycyjna
CP met. tradycyjna
CP met. conti
conti z barier anty dyfuz.
lata
jedn. straty cepa W/m
jednostkowe straty ciepa rury f60.3/125 w funkcji czasu eksploatacji dla temp czynnika +1300C
Chart2
8.99555720597.671338580616
11.0495163249.116513390218
11.28222303099.925744666920
13.039527262411.260881979922
14.607349426712.636421092824
17.301038913314.221266576926
17.836694371314.913085057329
18.644337779215.523659603533
21.729746684517.968980616135
25.922899495920.455716150839
28.173658670121.576488090441
26.96987335420.922410747748
31.131514536823.97855618255
30.171799050327.225945967257
40.836988941132.021298181959
48.945737693232.132176489863
46.594092356430.928382926465
41.408493203532.364460729769
43.37703463530.636336144470
49.138714140334.474690249279
54.730869740138.204687099785
60.696867912442.11062236193
izol seria1 (standard)
izol seria 2 (PLUS)
PN-85/B-02421
jednostkowe straty ciepa W/m
Jednostkowe straty ciepa -porwnanie dla to=700C
rury stalowe
redn. Nomint min grubo cianki wg EN254jednostkowa masa rury t wg EN253grubo cianki LOGSTORjednostkowa masa rury t wg Logstorodlegoc pomidzy rurami stal dla TWINPIPE
mmmmmmkg/1mmmkg/1mmm
1521.32.01.02.21.019.0
2026.92.01.22.61.619.0
2533.72.31.82.62.019.0
3242.42.62.62.62.619.0
4048.32.62.92.62.919.0
5060.32.94.12.94.120.0
6576.12.95.22.95.220.0
8088.93.26.83.26.825.0
100114.33.69.83.69.825.0
125139.73.612.13.612.130.0
150168.34.016.24.016.240.0
200219.14.523.84.523.840.0
250273.05.033.05.033.045.0
300323.95.644.05.644.0
350355.65.648.35.648.3
400406.46.362.26.362.2
450457.26.370.16.370.1
500508.06.377.96.377.9
550558.86.385.86.385.8
600609.67.1105.57.1105.5
700711.08.0138.78.0138.7
800813.08.8174.58.8174.5
900914.010.0222.910.0222.9
10001016.011.0272.611.0272.6
11001118.011.0300.311.0300.3
12001220.012.5372.212.5372.2
paszcze zewn
nomin redn paszczagrubo paszczamax dopuszcz redn wg EN253obwody paszczy Logstorredn redn Logstor
minmaxrednia
mmmmmmmmmmkg/1mkg/1mkg/1m
753.07900.00.60.7-0.0
903.095290297293.593.40.80.80.8
1103.0116349357353.0112.40.91.01.0
1253.0132399407403.0128.31.11.11.1
1403.0147449458453.5144.41.21.31.3
1603.0168511520515.5164.11.41.51.4
1803.0189570580575.0183.01.61.61.6
2003.2206631641636.0202.41.91.91.9
2253.4232712722717.0228.22.22.32.3
2503.6258800810805.0256.22.62.72.7
2803.9289887898892.5284.13.23.33.2
3154.13259901001995.5316.93.83.93.8
3554.5366111611471131.5360.24.74.84.7
4004.8412125712871272.0404.95.65.85.7
4505.2464141414451429.5455.06.87.06.9
5005.6515157116041587.5505.38.28.48.3
5205.7163416701652.0525.88.78.8
5606.0577176018051782.5567.49.810.19.9
6306.6649198020292004.5638.112.212.512.3
7107.2732223122842257.5718.614.915.415.1
7807.8245125092480.0789.417.818.0
8007.9824251425682541.0808.818.519.018.7
8408.2263926812660.0846.720.120.3
9008.7927282828752851.5907.722.923.623.1
10009.41030314232223182.01012.927.528.327.9
110010.21133345635443500.01114.132.833.833.3
120011.01236377038633816.51214.838.639.839.1
130011.8408541664125.51313.244.945.3
140012.51442439944724435.51411.951.252.851.7
jedn standard
8.00
0.0280W/mK
50.00W/mK
0.40W/mK
1.60W/mK
naziom nad rurocigiem H=1.00m
rura przewodowaizol seria1 (standard)izol seria 2 (PLUS)izolacja standardPLUSstraty ciepa izolacja standardstraty ciepa izolacja PLUSPN-85/B-02421
opornoc cieplna rury stalowej Roopornoc cieplna rury PE-HD Rcopornoc cieplna gruntu Rsoporno cieplna izolacji Risumaryczna oporno cieplna Ropornoc cieplna rury PE-HD Rcopornoc cieplna gruntu Rsoporno cieplna izolacji Risumaryczna oporno cieplna R
grub cianki rury togrub osony PH-HD tcgrub osony PH-HD tc150130110907050150130110907050150130110907050
mmmmmmmmmmmmmmseria 1seria 2W/mW/mW/mW/mW/mW/mW/mW/mW/mW/mW/mW/mW/mW/mW/mW/mW/mW/m
2026.92.690.03.0110.03.00.000680.027450.391726.472446.892290.022320.372627.686418.0820320.617.714.811.99.06.117.615.112.610.17.75.234.030.026.020.016.010.0
2533.72.690.03.0110.03.00.000530.027450.391725.191405.611110.022320.372626.405386.8008525.321.718.214.611.07.520.917.915.012.19.16.237.033.029.023.018.011.0
3242.42.6110.03.0125.03.00.000420.022320.372625.100025.495370.019570.360545.865866.2463825.822.218.614.911.37.622.719.516.313.19.96.740.034.030.026.020.013.0
4048.32.6110.03.0125.03.00.000360.022320.372624.359484.754770.019570.360545.125315.5057929.925.721.517.213.08.825.822.218.514.911.37.643.036.032.028.022.014.0
5060.32.9125.03.0140.03.00.000320.019570.360543.864014.244440.017430.349904.538804.9064533.528.724.019.314.69.928.924.920.816.712.68.646.041.036.031.024.015.0
6576.12.9140.03.0160.03.00.000250.017430.349903.216023.583600.015210.337464.006754.3596739.634.028.522.917.311.732.628.023.418.814.29.651.046.040.034.026.016.0
8088.93.2160.03.0180.03.00.000240.015210.337463.123083.475980.013490.326573.817124.1574240.935.129.323.617.812.134.229.324.519.714.910.153.047.042.036.029.017.0
100114.33.6200.03.2225.03.40.000210.012940.316922.995343.325410.012210.306233.675263.9939042.736.730.724.718.612.635.630.525.520.515.510.560.052.047.039.033.019.0
125139.73.6225.03.4250.03.60.000170.012210.306232.534632.853230.011630.296763.141843.4503949.842.835.728.721.714.741.235.429.623.818.012.265.055.050.041.035.020.0
150168.34.0250.03.6280.03.90.000160.011630.296762.083172.391710.011240.286692.732863.0309459.451.042.634.325.917.646.940.333.727.120.513.972.063.054.046.039.022.0
200219.14.5315.04.1355.04.50.000130.010490.276351.913662.200640.010220.266022.597132.8735064.555.446.437.328.219.149.442.535.528.521.614.681.071.063.052.041.024.0
250273.05.0400.04.8450.05.20.000120.009670.255872.033202.298860.009300.246042.707872.9633361.853.144.435.727.018.347.941.234.427.720.914.294.083.073.060.048.029.0
300323.95.6450.05.2500.05.60.000110.009300.246041.736101.991550.009010.237402.339112.5856471.361.351.241.231.121.154.947.239.431.724.016.2102.088.076.065.055.030.0
350355.65.6500.05.6520.05.70.000100.009010.237401.808382.054900.008820.234232.034092.2772469.159.449.639.930.220.462.453.644.836.027.218.4109.094.082.068.057.032.0
400406.46.3520.05.7560.06.00.000100.008820.234231.275081.518230.008620.228301.699191.9362193.580.467.254.040.827.773.363.052.742.432.021.7110.097.084.069.059.036.0
450457.26.3560.06.0630.06.60.000090.008620.228301.029701.266710.008430.219061.701961.92953112.196.380.564.748.933.273.663.252.942.532.121.8121.0104.090.074.063.039.0
500508.06.3630.06.6710.07.20.000080.008430.219061.103081.330640.008150.209921.786482.00463106.791.776.761.646.631.670.860.950.940.930.921.0125.0106.093.077.065.040.0
600609.67.1780.07.8840.08.20.000080.008040.202921.286251.497280.007850.197521.710241.9156894.881.568.154.841.428.174.163.753.242.832.421.9135.0117.0102.081.069.046.0
700711.08.0900.08.71000.09.40.000070.007770.192591.228901.429330.007550.185241.830872.0237499.385.471.457.443.429.470.260.350.440.530.620.8147.0129.0109.088.070.052.0
800813.08.81000.09.41100.010.20.000070.007550.185241.068871.261730.007450.178811.612101.79842112.596.780.865.049.133.379.067.856.745.634.523.4164.0144.0122.099.079.058.0
900914.010.01100.010.21200.011.00.000070.007450.178810.946491.132820.007360.173101.442301.62284125.4107.790.072.454.737.187.575.262.950.538.225.9173.0152.0127.0104.085.060.0
10001016.011.01200.011.01300.011.80.000070.007360.173100.840931.021470.007290.168011.296941.47231139.0119.499.980.360.741.196.482.969.355.742.128.5190.0165.0138.0111.093.065.0
130 C
130 C
17.700935147115.095214626430
21.742596637617.938945703233
22.200503383319.531304021934
25.65842461322.158509702336
28.743494033124.865215698741
34.043979797127.98378261946
35.098011504929.345102854647
36.687245307430.546555994152
42.758533798635.358316696255
51.009576427540.251570490263
55.438489641142.45696043671
53.069750793441.169905019783
61.258786669247.183610551788
59.370314260353.573635612994
80.356655658263.009651261297
96.31258062263.2278311573104
91.685149475460.859076081106
81.481228561663.6849065971117
85.354810088360.2844033808129
96.692308469767.8372937161144
107.696227553175.1769649381152
119.435772343882.862837549165
izol seria1 (standard)
izol seria 2 (PLUS)
PN-85/B-02421
jednostkowe straty ciepa W/m
Jednostkowe straty ciepa -porwnanie dla to=1300C
90 C
90 C
11.89734985310.145963929220
14.613876428512.057324161223
14.92164981513.127597785226
17.245826379214.89342455428
19.319397628816.712685961431
22.882019207918.808771924234
23.590466749219.723757656436
24.658640288620.531291733739
28.739342389223.765425976241
34.285125139827.054334263946
37.261935660428.53664553952
35.669832500527.671575505160
41.173938580931.713574305365
39.904637453636.008509182468
54.010211180142.350749208369
64.734685336142.497394712374
61.624444729440.905280644677
54.766071656242.804609352281
57.369626452840.519025223288
64.989912250145.595558071599
72.385989011150.5287797125104
80.276502722955.6946940903111
izol seria1 (standard)
izol seria 2 (PLUS)
PN-85/B-02421
jednostkowe straty ciepa W/m
Jednostkowe straty ciepa -porwnanie dla to=900C
70 C
70 C
8.99555720597.671338580616
11.0495163249.116513390218
11.28222303099.925744666920
13.039527262411.260881979922
14.607349426712.636421092824
17.301038913314.221266576926
17.836694371314.913085057329
18.644337779215.523659603533
21.729746684517.968980616135
25.922899495920.455716150839
28.173658670121.576488090441
26.96987335420.922410747748
31.131514536823.97855618255
30.171799050327.225945967257
40.836988941132.021298181959
48.945737693232.132176489863
46.594092356430.928382926465
41.408493203532.364460729769
43.37703463530.636336144470
49.138714140334.474690249279
54.730869740138.204687099785
60.696867912442.11062236193
izol seria1 (standard)
izol seria 2 (PLUS)
PN-85/B-02421
jednostkowe straty ciepa W/m
Jednostkowe straty ciepa -porwnanie dla to=700C
straty z upywem czasu
8.00
50.00W/mK
0.40W/mK
1.60W/mK
naziom nad rurocigiem H=1.00m
kolejny rok eksploatacjirura przewodowaizol seria1 (standard)CP met. tradycyjnaCP met. conticonti z barier anty dyfuz.
opornoc cieplna rury stalowej Roopornoc cieplna rury PE-HD Rcopornoc cieplna gruntu Rssumaryczna oporno cieplna R130110907050sumaryczna oporno cieplna R130110907050sumaryczna oporno cieplna R130110907050sumaryczna oporno cieplna R130110907050
grub cianki rury togrub osony PH-HD tc
latammmmmmmmmmseria 1W/mKW/mW/mW/mW/mW/m
05060.32.9125.03.00.000320.019570.360540.03093.88431.426.321.116.010.80.02724.35728.023.418.814.29.60.02454.79525.421.317.112.98.80.02454.79625.421.317.112.98.8
10.03293.66533.327.822.416.911.50.02724.35528.023.418.814.29.60.02454.79325.521.317.112.98.80.02454.79625.421.317.112.98.8
20.03463.50534.829.123.417.712.00.02734.34828.123.518.914.39.70.02464.78425.521.317.113.08.80.02454.79625.421.317.112.98.8
30.03603.38836.030.124.218.312.40.02744.33428.223.518.914.39.70.02474.76625.621.417.213.08.80.02454.79625.421.317.112.98.8
40.03703.30436.930.924.818.812.70.02754.31228.323.719.014.49.70.02484.74025.721.517.313.18.90.02454.79625.421.317.112.98.8
50.03783.24237.631.525.319.113.00.02774.28528.523.819.114.59.80.02504.70725.921.717.413.28.90.02454.79625.421.317.112.98.8
60.03843.19738.231.925.619.413.10.02794.25428.724.019.314.69.90.02524.66926.121.817.613.39.00.02454.79625.421.317.112.98.8
70.03893.16538.532.225.919.613.30.02824.22028.924.219.414.710.00.02554.62726.422.017.713.49.10.02454.79625.421.317.112.98.8
80.03923.14138.832.526.119.713.40.02844.18529.124.419.614.810.00.02574.58526.622.217.913.59.20.02454.79625.421.317.112.98.8
90.03943.12439.132.726.319.813.40.02874.15129.424.619.814.910.10.02604.54326.922.518.113.69.20.02454.79625.421.317.112.98.8
100.03963.11139.232.826.419.913.50.02894.11829.624.819.915.110.20.02624.50327.122.718.213.89.30.02454.79625.421.317.112.98.8
110.03983.10239.332.926.420.013.50.02924.08829.825.020.115.210.30.02654.46627.322.818.413.99.40.02454.79625.421.317.112.98.8
120.03983.09539.433.026.520.013.60.02944.06030.125.120.215.310.30.02674.43227.523.018.514.09.50.02454.79625.421.317.112.98.8
130.03993.09139.533.026.520.113.60.02964.03430.225.320.315.410.40.02694.40127.723.218.614.19.50.02454.79625.421.317.112.98.8
140.04003.08739.533.026.620.113.60.02984.01230.425.420.415.510.50.02714.37327.923.318.714.29.60.02454.79625.421.317.112.98.8
150.04003.08539.633.126.620.113.60.03003.99130.625.620.515.510.50.02734.34928.123.518.914.39.70.02454.79625.421.317.112.98.8
160.04003.08339.633.126.620.113.60.03013.97330.725.720.615.610.60.02744.32728.223.618.914.39.70.02454.79625.421.317.112.98.8
170.04013.08139.633.126.620.113.60.03023.95730.825.820.715.710.60.02754.30828.323.719.014.49.70.02454.79625.421.317.112.98.8
180.04013.08039.633.126.620.113.60.03043.94330.925.920.815.710.70.02774.29128.423.819.114.49.80.02454.79625.421.317.112.98.8
190.04013.08039.633.126.620.113.60.03053.93131.025.920.915.810.70.02784.27628.523.919.214.59.80.02454.79625.421.317.112.98.8
200.04013.07939.633.126.620.113.60.03063.92031.126.020.915.810.70.02794.26328.623.919.214.59.90.02454.79625.421.317.112.98.8
210.04013.07939.633.126.620.113.60.03073.91031.226.121.015.910.70.02804.25128.724.019.314.69.90.02454.79625.421.317.112.98.8
220.04013.07939.633.126.620.113.60.03073.90131.326.121.015.910.80.02804.24028.824.119.314.69.90.02454.79625.421.317.112.98.8
230.04013.07839.633.126.620.113.60.03083.89431.326.221.115.910.80.02814.23128.824.119.414.79.90.02454.79625.421.317.112.98.8
240.04013.07839.633.126.620.113.60.03093.88731.426.221.116.010.80.02824.22328.924.219.414.79.90.02454.79625.421.317.112.98.8
250.04013.07839.633.126.620.113.60.03093.88031.426.321.116.010.80.02824.21528.924.219.514.710.00.02454.79625.421.317.112.98.8
260.04013.07839.633.126.620.113.60.03103.87531.526.321.216.010.80.02834.20929.024.219.514.710.00.02454.79625.421.317.112.98.8
270.04013.07839.633.126.620.113.60.03103.87031.526.421.216.010.90.02834.20329.024.319.514.810.00.02454.79625.421.317.112.98.8
280.04013.07839.633.126.620.113.60.03103.86631.626.421.216.010.90.02834.19729.124.319.514.810.00.02454.79625.421.317.112.98.8
290.04013.07839.633.126.620.113.60.03113.86131.626.421.216.110.90.02844.19329.124.319.614.810.00.02454.79625.421.317.112.98.8
300.04013.07839.633.126.620.113.60.03113.85831.626.421.316.110.90.02844.18829.124.419.614.810.00.02454.79625.421.317.112.98.8
straty 130 C
straty 130 C
31.4079185327.999213983725.440899625725.4355336338
33.292131423928.011145755225.453040889925.4355336338
34.811317470428.059597198125.502342932625.4355336338
36.006544751628.152548695625.59692586125.4355336338
36.928895366828.290522733925.737320571325.4355336338
37.630108023428.468615869925.918536534625.4355336338
38.157167030728.678117515326.131709281725.4355336338
38.549945095228.908393240226.366017055725.4355336338
38.840788235229.148692675626.610520615925.4355336338
39.055132994329.389514150426.855551828425.4355336338
39.212549257529.623363278527.093485439525.4355336338
39.327860455729.844956864827.318946383425.4355336338
39.412169941830.051042550127.528626096925.4355336338
39.473727863930.24002193627.720898917825.4355336338
39.518628775630.411522521227.89538644825.4355336338
39.551355917630.566005480628.052558434525.4355336338
39.575197165730.704447617228.193409149625.4355336338
39.592558410630.828104456828.319216352525.4355336338
39.605197321430.938345418728.431373595425.4355336338
39.614396494931.036546209228.531280754725.4355336338
39.621091065831.124023404928.620277489225.4355336338
39.625962414531.201998454528.699606626925.4355336338
39.629506801531.271581231828.770397443125.4355336338
39.632085543731.333765976928.833661539425.4355336338
39.633961645631.389434654528.890296268625.4355336338
39.635326516731.439364410128.941092324725.4355336338
39.636319443431.48423697828.986743319725.4355336338
39.637041773331.524648710429.0278559925.4355336338
39.637567244631.561120437129.064960230625.4355336338
39.637949504431.59410672129.09851851225.4355336338
39.638227581731.624004294529.128934466425.4355336338
CO2 met. tradycyjna
CP met. tradycyjna
CP met. conti
conti z barier anty dyfuz.
lata
jedn. straty cepa W/m
jednostkowe straty ciepa rury f60.3/125 w funkcji czasu eksploatacji dla temp czynnika +1300C
-
Zmiana gruboci izolacjiWpyw zmiany gruboci izolacji na straty ciepa sieci preizolowanej z uwzgldnieniem czasu zwrotu dodatkowych kosztw zwizanych z zakupem materiaw i kosztami montau.oblicze przyjto:sezon grzewczy 205 dnirednia temp zasilania 820C, powrotu 500C,sezon letni 160 dnirednia temp zasilania 70,40C, powrotu 540C, cena energii 34 z/GJrednice-dugoci DN50-DN200 cznie dug. 600mrednice-dugoci DN700 cznie dugo 1150m
Chart2
493.0076506.5246520.0416
537.018400901545.8010553012556.6535891123
578.5502260777582.8652041405591.203351899
617.7427076323617.8416580656623.8070464146
654.7276126748650.848009688654.5742879329
689.6292863312681.9952280353683.6085174799
722.565069798711.3880316349711.0073496076
753.6456948491739.1252405828736.8629005787
782.9756561219765.3001087817761.2620980666
810.6535624331790.0006374658784.2869734102
836.7724683072813.3098710648806.0149374079
standard/standard
plus/standard
plus/plus
czs eksploatacji
cakowite koszty koszty w ty z
cakowite koszty inwestycji w okresie 20 lat eksploatacji dla rnych rodzajw izolacji DN50-DN200
ceny jednostk
standardplusrnica %
26,9/ 90314.6398.220.9944751381
33,7/ 90336.6414.1518.7250996016
42,4/110418.55489.514.4943820225
48,3/110439.45503.812.7729257642
60,3/125548.35647.915.3650254669
76,1/140691.9782.111.5330520394
88,9/160845.351020.2517.1428571429
114,3/2001141.81278.7510.7096774194
139,7/2251358.51521.8510.7336465486
168,3/2501693.451922.2511.9027181688
219,1/3152456.32869.914.4116519739
273,0/4003142.153754.316.305303252314.4350464806
323,9/4503966.054606.813.9087870105
406,4/5205529.76136.359.8861701174
457,2/5606178.158334.725.8743566055
508,0/6307462.49968.7525.1420689655
rednia15.6188873273
male
standard/standardplus/standardplus/plus
0493.0506.5520.0
2537.0545.8556.7
4578.6582.9591.2
6617.7617.8623.8
8654.7650.8654.6
10689.6682.0683.6
12722.6711.4711.0
14753.6739.1736.9
16783.0765.3761.3
18810.7790.0784.3
20836.8813.3806.0
22861.4835.3826.5
24884.7856.1845.9
26906.6875.7864.1
28927.3894.1881.4
30946.9911.6897.6
male
standard/standard
plus/standard
plus/plus
czs eksploatacji
cakowite koszty koszty w ty z
cakowite koszty inwestycji w okresie 20 lat eksploatacji dla rnych rodzajw izolacji DN50-DN200
DN700
standard/standardplus/standardplus/plus
04355.04602.94978.0
24540.14755.15112.1
44714.84898.65238.7
64879.75034.15358.1
85035.25162.05470.8
105182.05282.75577.2
125320.55396.55677.5
145451.35504.05772.2
165574.65605.45861.6
185691.15701.05946.0
205800.95791.36025.6
225904.65876.56100.7
246002.45956.96171.5
266094.76032.86238.4
286181.96104.46301.6
306264.16172.06361.1
DN700
standard/standard
plus/standard
plus/plus
czs eksploatacji
cakowite koszty koszty w ty z
cakowite koszty inwestycji w okresie 30 lat eksploatacji dla rnych rodzajw izolacji DN700
starzenie pianki
interpolacja Iwko
pienienie CPCP
00.03130.02750.03070.0275
70.03260.02850.03310.0290
140.03330.03010.03450.0295
280.03670.03030.03620.0301
560.03920.03820.0309
580.03110.03830.0309
840.03920.03930.0313
1080.03110.03990.0317
1720.03290.04090.0323
Richards Model:Exponential Association (3): y=a(b-exp(-cx))
MMF Model: y=(a*b+c*x^d)/(b+x^d)y=a/(1+exp(b-cx)^(1/d))y=a(b-exp(-cx))
Coefficient Data:Coefficient Data:Coefficient Data:
a =0.0306649910.0274584370.0390513210.0092518694
b =23.82433915.4128684.1459964.3497019
c =0.043961030.0379617260.112936150.028801385
d =0.853115120.4974079818.335231
00.0306649910.0274584370.03110.0310
50.03255481950.02878433210.03210.0322
100.03372772990.02923770450.03300.0333
150.03461723450.02955589920.03400.0342
200.03533082030.02980643910.03500.0350
250.035922350.03001497680.03590.0357
300.03642389550.03019444540.03670.0363
350.03685639170.03035240740.03740.0369
400.03723433860.03049371720.03790.0373
450.03756821430.03062169970.03840.0377
500.03786583760.03073874310.03860.0381
550.03813319450.03084662710.03880.0383
600.03837496450.03094671730.03890.0386
650.03859486990.03104008650.03900.0388
700.0387959170.03112759450.03900.0390
750.03898056440.03120994190.03900.0392
800.03915084650.03128770780.03900.0393
850.0393084630.03136137660.03900.0394
900.03945484730.03143135850.03900.0396
950.03959121720.03149800340.03900.0396
1000.03971861550.0315616130.03900.0397
1050.03983794080.03162244890.03910.0398
1100.03994997220.03168073990.03910.0399
1150.04005538870.03173668710.03910.0399
1200.04015478530.03179046820.03910.0400
1250.0402486860.03184224140.03910.0400
1300.0403375540.03189214770.03910.0400
1350.04042180040.03194031380.03910.0401
1400.04050179180.03198685370.03910.0401
1450.0405778560.03203187040.03910.0401
1500.04065028710.03207545730.03910.0401
1550.04071934990.03211769950.03910.0401
1600.04078528340.03215867470.03910.0402
1650.04084830410.03219845380.03910.0402
1700.04090860840.03223710210.03910.0402
1750.04096637520.03227467950.03910.0402
gaz[W/mK]
c-pentan0.0130
0.0175
0.0270
0.0270
starzenie pianki
pienienie CO2
pienienie CP
czas starzenia w dniach
wspczynnik przewodzenia ciepa izolacji PUR l50 [W/mK]
zmiana wspczynnika przewodzenia ciepa l50 w fynkcji czasu dla temperatury starzenia 800C
starzenie interpol
pienienie CO2
pienienie CP
czas starzenia rury f60.3/125 w dniach
wspczynnik przewodzenia ciepa izolacji PUR l50 [W/mK]
zmiana wspczynnika przewodzenia ciepa l50 w funkcji czasu dla temperatury starzenia 800C
lambda starz wykres interp
Logistic Model: y=a/(1+b*exp(-cx))MMF Model: y=(a*b+c*x^d)/(b+x^d)CP linioweCP wielomianLinear Fit: y=a+bx
Coefficient Data:Coefficient Data:aproksymacja linioway=a+bxy = a/(1+b*exp(-cx))y=a+bxy=(a+c*x^d)/(b+x^d)Coefficient Data:
a =0.040110594a =0.027205614Linear Fit: y=a+bxa =0.02708845
b =0.29903149b =341.23761cyklopentanCO2a=0,031a=0,04020.0275a=9,3ab =0.00016520468
c =0.31821798c =0.031553116a =0.0274a =0.03b=0,00114b=0,2990.000155b=342,0brozpatrywany okres w latach
d =2.3568527b =0.00014b =0.001c=0,315c=0,032cCP metoda tradycyjnaCP metoda contiCP bariera antydyfuzyjna
CO2CP met tradycCP met. ContiCP trad apr. liniowaCO2 apr. biliniowad=2,36d
00.03090.03430.02720.02730.02450.02460.02740.00020.0300-0.00090.03100.03090.02750.02750-40.03430.02750.02450.0250
10.03290.02720.02450.02750.00030.0310-0.00190.03210.03300.02770.02755-90.03870.02850.02550.0250
20.03460.02730.02460.02770.00040.0320-0.00260.03330.03470.02780.027610-140.03980.02940.02670.0250
30.03600.02740.02470.02780.00050.0330-0.00300.03440.03600.02800.027715-190.04010.03020.02750.0250
40.03700.02750.02480.02800.00040.0340-0.00300.03560.03710.02810.027820-240.04010.03070.02800.0250
50.03780.03870.02770.02820.02500.02550.02810.00040.0350-0.00280.03670.03790.02830.028025-300.04010.03100.02830.0250
60.03840.02790.02520.02820.00030.0360-0.00240.03780.03850.02840.0283
70.03890.02820.02550.02840.00020.0370-0.00190.03900.03890.02860.0286
80.03920.02840.02570.02850.00010.0380-0.00120.04010.03930.02870.0289
90.03940.02870.02600.0287-0.00000.0390-0.00040.04010.03950.02890.0291
100.03960.03980.02890.02940.02620.02670.0288-0.00010.04000.00040.04010.03970.02910.0294
110.03980.02920.02650.0289-0.00020.04010.00030.04010.03980.02920.0297
120.03980.02940.02670.0291-0.00030.04010.00030.04010.03990.02940.0299
130.03990.02960.02690.0292-0.00040.04010.00020.04010.04000.02950.0302
140.04000.02980.02710.0294-0.00040.04010.00010.04010.04010.02970.0304
150.04000.04010.03000.03020.02730.02750.0295-0.00050.04010.00010.04010.04010.02980.0305
160.04000.03010.02740.0296-0.00050.04010.00010.04010.04010.03000.0307
170.04010.03020.02750.0298-0.00050.04010.00000.04010.04010.03010.0309
180.04010.03040.02770.0299-0.00040.04010.00000.04010.04020.03030.0310
190.04010.03050.02780.0301-0.00040.04010.00000.04010.04020.03040.0311
200.04010.04010.03060.03070.02790.02800.0302-0.00040.04010.00000.04010.04020.03060.0312
210.04010.03070.02800.0303-0.00030.04010.00000.04010.04020.03080.0313
220.04010.03070.02800.0305-0.00020.04010.00000.04010.04020.03090.0314
230.04010.03080.02810.0306-0.00020.0401-0.00000.04010.04020.03110.0315
240.04010.03090.02820.0308-0.00010.0401-0.00000.04010.04020.03120.0315
250.04010.04010.03090.03100.02820.02830.0309-0.00000.0401-0.00000.04010.04020.03140.0316
260.04010.03100.02830.03100.00010.0401-0.00000.04010.04020.03150.0316
270.04010.03100.02830.03120.00020.0401-0.00000.04010.04020.03170.0317
280.04010.03100.02830.03130.00030.0401-0.00000.04010.04020.03180.0317
290.04010.03110.02840.03150.00040.0401-0.00000.04010.04020.03200.0318
300.04010.03110.02840.03160.00050.0401-0.00000.04010.04020.03220.0318
rnicarnica
lambda starz wykres interp
CO2
CO2 wielomian
CO2 liniowe
CP met tradyc
CP wielomian
CP liniowe
czas w latach
warto l50 w W/mK
zmiana l50 izolacji w funkcji czasu
0.031CP=0.0275czas eksploatacji:
CPliniow CP
00.03100.03100.02750.02750.0245
10.03310.03210.02750.02770.0245
20.03480.03330.02760.02780.0245
30.03610.03440.02770.02800.0246
40.03720.03560.02780.02810.0246
50.03800.03670.02800.02830.0246
60.03860.03780.02830.02840.0246
70.03900.03900.02860.02860.0246
80.03940.04010.02890.02870.0246
90.03960.04030.02910.02890.0247
100.03980.04030.02940.02910.0247
110.03990.04030.02970.02920.0247
120.04000.04030.02990.02940.0247
130.04010.04030.03020.02950.0247
140.04020.04030.03040.02970.0247
150.04020.04030.03050.02980.0248
160.04020.04030.03070.03000.0248
170.04020.04030.03090.03010.0248
180.04030.04030.03100.03030.0248
190.04030.04030.03110.03040.0248
200.04030.04030.03120.03060.0248
210.04030.04030.03130.03080.0249
220.04030.04030.03140.03090.0249
230.04030.04030.03150.03110.0249
240.04030.04030.03150.03120.0249
250.04030.04030.03160.03140.0249
260.04030.04030.03160.03150.0249
270.04030.04030.03170.03170.0250
280.04030.04030.03170.03180.0250
290.04030.04030.03180.03200.0250
300.04030.04030.03180.03220.0250
0000
1111
2222
3333
4444
5555
6666
7777
8888
9999
10101010
11111111
12121212
13131313
14141414
15151515
16161616
17171717
18181818
19191919
20202020
21212121
22222222
23232323
24242424
25252525
26262626
27272727
28282828
29292929
30303030
CO2
CP met tradyc
CP trad apr. liniowa
CO2 apr. biliniowa
axial conti
lata
wspoczynnik przewodzenia ciepa W/mK
zmiana wspczynnika przewodzenia ciepa izolacji PUR w funkcji czasu eksploatacji
Chart3
43554602.9254977.9855
4540.11532870944755.07123377785112.10174353
4714.80375318944898.64759806125238.6636843632
4879.65258478035034.13680386665358.0968301617
5035.21605361235161.99437277365470.8027212173
5182.01717195495282.65016841155577.1602804501
5320.54949261135396.50984168295677.527087367
5451.27876826755503.95619458225772.2405802616
5574.64451737655605.35046719585861.6191906993
5691.06150184185701.03355220915945.9634141002
5800.92112146785791.32714100546025.5568200196
5904.59272986595876.53480520826100.667005524
6002.424876245956.94301730496171.5464948653
6094.74647722646032.82211378156238.4335884804
6181.86792272886104.42720400756301.5531641695
6264.0821194646171.9990279276361.1174331462
standard/standard
plus/standard
plus/plus
czs eksploatacji
cakowite koszty koszty w ty z
cakowite koszty inwestycji w okresie 30 lat eksploatacji dla rnych rodzajw izolacji DN700
ceny jednostk
standardplusrnica %
26,9/ 90314.6398.220.9944751381
33,7/ 90336.6414.1518.7250996016
42,4/110418.55489.514.4943820225
48,3/110439.45503.812.7729257642
60,3/125548.35647.915.3650254669
76,1/140691.9782.111.5330520394
88,9/160845.351020.2517.1428571429
114,3/2001141.81278.7510.7096774194
139,7/2251358.51521.8510.7336465486
168,3/2501693.451922.2511.9027181688
219,1/3152456.32869.914.4116519739
273,0/4003142.153754.316.305303252314.4350464806
323,9/4503966.054606.813.9087870105
406,4/5205529.76136.359.8861701174
457,2/5606178.158334.725.8743566055
508,0/6307462.49968.7525.1420689655
rednia15.6188873273
male
standard/standardplus/standardplus/plus
0493.0506.5520.0
2537.0545.8556.7
4578.6582.9591.2
6617.7617.8623.8
8654.7650.8654.6
10689.6682.0683.6
12722.6711.4711.0
14753.6739.1736.9
16783.0765.3761.3
18810.7790.0784.3
20836.8813.3806.0
22861.4835.3826.5
24884.7856.1845.9
26906.6875.7864.1
28927.3894.1881.4
30946.9911.6897.6
male
standard/standard
plus/standard
plus/plus
czs eksploatacji
cakowite koszty koszty w ty z
cakowite koszty inwestycji w okresie 20 lat eksploatacji dla rnych rodzajw izolacji DN50-DN200
DN700
standard/standardplus/standardplus/plus
04355.04602.94978.0
24540.14755.15112.1
44714.84898.65238.7
64879.75034.15358.1
85035.25162.05470.8
105182.05282.75577.2
125320.55396.55677.5
145451.35504.05772.2
165574.65605.45861.6
185691.15701.05946.0
205800.95791.36025.6
225904.65876.56100.7
246002.45956.96171.5
266094.76032.86238.4
286181.96104.46301.6
306264.16172.06361.1
DN700
standard/standard
plus/standard
plus/plus
czs eksploatacji
cakowite koszty koszty w ty z
cakowite koszty inwestycji w okresie 30 lat eksploatacji dla rnych rodzajw izolacji DN700
starzenie pianki
interpolacja Iwko
pienienie CPCP
00.03130.02750.03070.0275
70.03260.02850.03310.0290
140.03330.03010.03450.0295
280.03670.03030.03620.0301
560.03920.03820.0309
580.03110.03830.0309
840.03920.03930.0313
1080.03110.03990.0317
1720.03290.04090.0323
Richards Model:Exponential Association (3): y=a(b-exp(-cx))
MMF Model: y=(a*b+c*x^d)/(b+x^d)y=a/(1+exp(b-cx)^(1/d))y=a(b-exp(-cx))
Coefficient Data:Coefficient Data:Coefficient Data:
a =0.0306649910.0274584370.0390513210.0092518694
b =23.82433915.4128684.1459964.3497019
c =0.043961030.0379617260.112936150.028801385
d =0.853115120.4974079818.335231
00.0306649910.0274584370.03110.0310
50.03255481950.02878433210.03210.0322
100.03372772990.02923770450.03300.0333
150.03461723450.02955589920.03400.0342
200.03533082030.02980643910.03500.0350
250.035922350.03001497680.03590.0357
300.03642389550.03019444540.03670.0363
350.03685639170.03035240740.03740.0369
400.03723433860.03049371720.03790.0373
450.03756821430.03062169970.03840.0377
500.03786583760.03073874310.03860.0381
550.03813319450.03084662710.03880.0383
600.03837496450.03094671730.03890.0386
650.03859486990.03104008650.03900.0388
700.0387959170.03112759450.03900.0390
750.03898056440.03120994190.03900.0392
800.03915084650.03128770780.03900.0393
850.0393084630.03136137660.03900.0394
900.03945484730.03143135850.03900.0396
950.03959121720.03149800340.03900.0396
1000.03971861550.0315616130.03900.0397
1050.03983794080.03162244890.03910.0398
1100.03994997220.03168073990.03910.0399
1150.04005538870.03173668710.03910.0399
1200.04015478530.03179046820.03910.0400
1250.0402486860.03184224140.03910.0400
1300.0403375540.03189214770.03910.0400
1350.04042180040.03194031380.03910.0401
1400.04050179180.03198685370.03910.0401
1450.0405778560.03203187040.03910.0401
1500.04065028710.03207545730.03910.0401
1550.04071934990.03211769950.03910.0401
1600.04078528340.03215867470.03910.0402
1650.04084830410.03219845380.03910.0402
1700.04090860840.03223710210.03910.0402
1750.04096637520.03227467950.03910.0402
gaz[W/mK]
c-pentan0.0130
0.0175
0.0270
0.0270
starzenie pianki
pienienie CO2
pienienie CP
czas starzenia w dniach
wspczynnik przewodzenia ciepa izolacji PUR l50 [W/mK]
zmiana wspczynnika przewodzenia ciepa l50 w fynkcji czasu dla temperatury starzenia 800C
starzenie interpol
pienienie CO2
pienienie CP
czas starzenia rury f60.3/125 w dniach
wspczynnik przewodzenia ciepa izolacji PUR l50 [W/mK]
zmiana wspczynnika przewodzenia ciepa l50 w funkcji czasu dla temperatury starzenia 800C
lambda starz wykres interp
Logistic Model: y=a/(1+b*exp(-cx))MMF Model: y=(a*b+c*x^d)/(b+x^d)CP linioweCP wielomianLinear Fit: y=a+bx
Coefficient Data:Coefficient Data:aproksymacja linioway=a+bxy = a/(1+b*exp(-cx))y=a+bxy=(a+c*x^d)/(b+x^d)Coefficient Data:
a =0.040110594a =0.027205614Linear Fit: y=a+bxa =0.02708845
b =0.29903149b =341.23761cyklopentanCO2a=0,031a=0,04020.0275a=9,3ab =0.00016520468
c =0.31821798c =0.031553116a =0.0274a =0.03b=0,00114b=0,2990.000155b=342,0brozpatrywany okres w latach
d =2.3568527b =0.00014b =0.001c=0,315c=0,032cCP metoda tradycyjnaCP metoda contiCP bariera antydyfuzyjna
CO2CP met tradycCP met. ContiCP trad apr. liniowaCO2 apr. biliniowad=2,36d
00.03090.03430.02720.02730.02450.02460.02740.00020.0300-0.00090.03100.03090.02750.02750-40.03430.02750.02450.0250
10.03290.02720.02450.02750.00030.0310-0.00190.03210.03300.02770.02755-90.03870.02850.02550.0250
20.03460.02730.02460.02770.00040.0320-0.00260.03330.03470.02780.027610-140.03980.02940.02670.0250
30.03600.02740.02470.02780.00050.0330-0.00300.03440.03600.02800.027715-190.04010.03020.02750.0250
40.03700.02750.02480.02800.00040.0340-0.00300.03560.03710.02810.027820-240.04010.03070.02800.0250
50.03780.03870.02770.02820.02500.02550.02810.00040.0350-0.00280.03670.03790.02830.028025-300.04010.03100.02830.0250
60.03840.02790.02520.02820.00030.0360-0.00240.03780.03850.02840.0283
70.03890.02820.02550.02840.00020.0370-0.00190.03900.03890.02860.0286
80.03920.02840.02570.02850.00010.0380-0.00120.04010.03930.02870.0289
90.03940.02870.02600.0287-0.00000.0390-0.00040.04010.03950.02890.0291
100.03960.03980.02890.02940.02620.02670.0288-0.00010.04000.00040.04010.03970.02910.0294
110.03980.02920.02650.0289-0.00020.04010.00030.04010.03980.02920.0297
120.03980.02940.02670.0291-0.00030.04010.00030.04010.03990.02940.0299
130.03990.02960.02690.0292-0.00040.04010.00020.04010.04000.02950.0302
140.04000.02980.02710.0294-0.00040.04010.00010.04010.04010.02970.0304
150.04000.04010.03000.03020.02730.02750.0295-0.00050.04010.00010.04010.04010.02980.0305
160.04000.03010.02740.0296-0.00050.04010.00010.04010.04010.03000.0307
170.04010.03020.02750.0298-0.00050.04010.00000.04010.04010.03010.0309
180.04010.03040.02770.0299-0.00040.04010.00000.04010.04020.03030.0310
190.04010.03050.02780.0301-0.00040.04010.00000.04010.04020.03040.0311
200.04010.04010.03060.03070.02790.02800.0302-0.00040.04010.00000.04010.04020.03060.0312
210.04010.03070.02800.0303-0.00030.04010.00000.04010.04020.03080.0313
220.04010.03070.02800.0305-0.00020.04010.00000.04010.04020.03090.0314
230.04010.03080.02810.0306-0.00020.0401-0.00000.04010.04020.03110.0315
240.04010.03090.02820.0308-0.00010.0401-0.00000.04010.04020.03120.0315
250.04010.04010.03090.03100.02820.02830.0309-0.00000.0401-0.00000.04010.04020.03140.0316
260.04010.03100.02830.03100.00010.0401-0.00000.04010.04020.03150.0316
270.04010.03100.02830.03120.00020.0401-0.00000.04010.04020.03170.0317
280.04010.03100.02830.03130.00030.0401-0.00000.04010.04020.03180.0317
290.04010.03110.02840.03150.00040.0401-0.00000.04010.04020.03200.0318
300.04010.03110.02840.03160.00050.0401-0.00000.04010.04020.03220.0318
rnicarnica
lambda starz wykres interp
CO2
CO2 wielomian
CO2 liniowe
CP met tradyc
CP wielomian
CP liniowe
czas w latach
warto l50 w W/mK
zmiana l50 izolacji w funkcji czasu
0.031CP=0.0275czas eksploatacji:
CPliniow CP
00.03100.03100.02750.02750.0245
10.03310.03210.02750.02770.0245
20.03480.03330.02760.02780.0245
30.03610.03440.02770.02800.0246
40.03720.03560.02780.02810.0246
50.03800.03670.02800.02830.0246
60.03860.03780.02830.02840.0246
70.03900.03900.02860.02860.0246
80.03940.04010.02890.02870.0246
90.03960.04030.02910.02890.0247
100.03980.04030.02940.02910.0247
110.03990.04030.02970.02920.0247
120.04000.04030.02990.02940.0247
130.04010.04030.03020.02950.0247
140.04020.04030.03040.02970.0247
150.04020.04030.03050.02980.0248
160.04020.04030.03070.03000.0248
170.04020.04030.03090.03010.0248
180.04030.04030.03100.03030.0248
190.04030.04030.03110.03040.0248
200.04030.04030.03120.03060.0248
210.04030.04030.03130.03080.0249
220.04030.04030.03140.03090.0249
230.04030.04030.03150.03110.0249
240.04030.04030.03150.03120.0249
250.04030.04030.03160.03140.0249
260.04030.04030.03160.03150.0249
270.04030.04030.03170.03170.0250
280.04030.04030.03170.03180.0250
290.04030.04030.03180.03200.0250
300.04030.04030.03180.03220.0250
0000
1111
2222
3333
4444
5555
6666
7777
8888
9999
10101010
11111111
12121212
13131313
14141414
15151515
16161616
17171717
18181818
19191919
20202020
21212121
22222222
23232323
24242424
25252525
26262626
27272727
28282828
29292929
30303030
CO2
CP met tradyc
CP trad apr. liniowa
CO2 apr. biliniowa
axial conti
lata
wspoczynnik przewodzenia ciepa W/mK
zmiana wspczynnika przewodzenia ciepa izolacji PUR w funkcji czasu eksploatacji
-
Zmiana czynnika pienicego i zjawisko dyfuzjiPraktyczna wiedza potwierdzona wynikami bada laboratoryjnych pokazuje, e dla nowych rur preizolowanych warto wspczynnika przewodzenia ciepa wynosi w przyblieniu:dla systemw pienionych CO2l50=0,030 0,031 W/mKdla systemw pienionych Cyklopentaneml50=0,0275 0,029 W/mK - dla metody tradyc.dla systemw pienionych Cyklopentaneml50=0,024 0,026 W/mK - dla metody CONTI
ceny jednostk
standardplusrnica %
26,9/ 90314.6398.220.9944751381
33,7/ 90336.6414.1518.7250996016
42,4/110418.55489.514.4943820225
48,3/110439.45503.812.7729257642
60,3/125548.35647.915.3650254669
76,1/140691.9782.111.5330520394
88,9/160845.351020.2517.1428571429
114,3/2001141.81278.7510.7096774194
139,7/2251358.51521.8510.7336465486
168,3/2501693.451922.2511.9027181688
219,1/3152456.32869.914.4116519739
273,0/4003142.153754.316.305303252314.4350464806
323,9/4503966.054606.813.9087870105
406,4/5205529.76136.359.8861701174
457,2/5606178.158334.725.8743566055
508,0/6307462.49968.7525.1420689655
rednia15.6188873273
male
standard/standardplus/standardplus/plus
0493.0506.5520.0
2537.0545.8556.7
4578.6582.9591.2
6617.7617.8623.8
8654.7650.8654.6
10689.6682.0683.6
12722.6711.4711.0
14753.6739.1736.9
16783.0765.3761.3
18810.7790.0784.3
20836.8813.3806.0
22861.4835.3826.5
24884.7856.1845.9
26906.6875.7864.1
28927.3894.1881.4
30946.9911.6897.6
male
standard/standard
plus/standard
plus/plus
czs eksploatacji
cakowite koszty koszty w ty z
cakowite koszty inwestycji w okresie 20 lat eksploatacji dla rnych rodzajw izolacji DN50-DN200
DN700
standard/standardplus/standardplus/plus
04355.04602.94978.0
24540.14755.15112.1
44714.84898.65238.7
64879.75034.15358.1
85035.25162.05470.8
105182.05282.75577.2
125320.55396.55677.5
145451.35504.05772.2
165574.65605.45861.6
185691.15701.05946.0
205800.95791.36025.6
225904.65876.56100.7
246002.45956.96171.5
266094.76032.86238.4
286181.96104.46301.6
306264.16172.06361.1
DN700
standard/standard
plus/standard
plus/plus
czs eksploatacji
cakowite koszty koszty w ty z
cakowite koszty inwestycji w okresie 30 lat eksploatacji dla rnych rodzajw izolacji DN700
starzenie pianki
interpolacja Iwko
pienienie CPCP
00.03130.02750.03070.0275
70.03260.02850.03310.0290
140.03330.03010.03450.0295
280.03670.03030.03620.0301
560.03920.03820.0309
580.03110.03830.0309
840.03920.03930.0313
1080.03110.03990.0317
1720.03290.04090.0323
Richards Model:Exponential Association (3): y=a(b-exp(-cx))
MMF Model: y=(a*b+c*x^d)/(b+x^d)y=a/(1+exp(b-cx)^(1/d))y=a(b-exp(-cx))
Coefficient Data:Coefficient Data:Coefficient Data:
a =0.0306649910.0274584370.0390513210.0092518694
b =23.82433915.4128684.1459964.3497019
c =0.043961030.0379617260.112936150.028801385
d =0.853115120.4974079818.335231
00.0306649910.0274584370.03110.0310
50.03255481950.02878433210.03210.0322
100.03372772990.02923770450.03300.0333
150.03461723450.02955589920.03400.0342
200.03533082030.02980643910.03500.0350
250.035922350.03001497680.03590.0357
300.03642389550.03019444540.03670.0363
350.03685639170.03035240740.03740.0369
400.03723433860.03049371720.03790.0373
450.03756821430.03062169970.03840.0377
500.03786583760.03073874310.03860.0381
550.03813319450.03084662710.03880.0383
600.03837496450.03094671730.03890.0386
650.03859486990.03104008650.03900.0388
700.0387959170.03112759450.03900.0390
750.03898056440.03120994190.03900.0392
800.03915084650.03128770780.03900.0393
850.0393084630.03136137660.03900.0394
900.03945484730.03143135850.03900.0396
950.03959121720.03149800340.03900.0396
1000.03971861550.0315616130.03900.0397
1050.03983794080.03162244890.03910.0398
1100.03994997220.03168073990.03910.0399
1150.04005538870.03173668710.03910.0399
1200.04015478530.03179046820.03910.0400
1250.0402486860.03184224140.03910.0400
1300.0403375540.03189214770.03910.0400
1350.04042180040.03194031380.03910.0401
1400.04050179180.03198685370.03910.0401
1450.0405778560.03203187040.03910.0401
1500.04065028710.03207545730.03910.0401
1550.04071934990.03211769950.03910.0401
1600.04078528340.03215867470.03910.0402
1650.04084830410.03219845380.03910.0402
1700.04090860840.03223710210.03910.0402
1750.04096637520.03227467950.03910.0402
gaz[W/mK]
c-pentan0.0130
0.0175
0.0270
0.0270
starzenie pianki
pienienie CO2
pienienie CP
czas starzenia w dniach
wspczynnik przewodzenia ciepa izolacji PUR l50 [W/mK]
zmiana wspczynnika przewodzenia ciepa l50 w fynkcji czasu dla temperatury starzenia 800C
starzenie interpol
pienienie CO2
pienienie CP
czas starzenia rury f60.3/125 w dniach
wspczynnik przewodzenia ciepa izolacji PUR l50 [W/mK]
zmiana wspczynnika przewodzenia ciepa l50 w funkcji czasu dla temperatury starzenia 800C
lambda starz wykres interp
Logistic Model: y=a/(1+b*exp(-cx))MMF Model: y=(a*b+c*x^d)/(b+x^d)CP linioweCP wielomianLinear Fit: y=a+bx
Coefficient Data:Coefficient Data:aproksymacja linioway=a+bxy = a/(1+b*exp(-cx))y=a+bxy=(a+c*x^d)/(b+x^d)Coefficient Data:
a =0.040110594a =0.027205614Linear Fit: y=a+bxa =0.02708845
b =0.29903149b =341.23761cyklopentanCO2a=0,031a=0,04020.0275a=9,3ab =0.00016520468
c =0.31821798c =0.031553116a =0.0274a =0.03b=0,00114b=0,2990.000155b=342,0brozpatrywany okres w latach
d =2.3568527b =0.00014b =0.001c=0,315c=0,032cCP metoda tradycyjnaCP metoda contiCP bariera antydyfuzyjna
CO2CP met tradycCP met. ContiCP trad apr. liniowaCO2 apr. biliniowad=2,36d
00.03090.03430.02720.02730.02450.02460.02740.00020.0300-0.00090.03100.03090.02750.02750-40.03430.02750.02450.0250
10.03290.02720.02450.02750.00030.0310-0.00190.03210.03300.02770.02755-90.03870.02850.02550.0250
20.03460.02730.02460.02770.00040.0320-0.00260.03330.03470.02780.027610-140.03980.02940.02670.0250
30.03600.02740.02470.02780.00050.0330-0.00300.03440.03600.02800.027715-190.04010.03020.02750.0250
40.03700.02750.02480.02800.00040.0340-0.00300.03560.03710.02810.027820-240.04010.03070.02800.0250
50.03780.03870.02770.02820.02500.02550.02810.00040.0350-0.00280.03670.03790.02830.028025-300.04010.03100.02830.0250
60.03840.02790.02520.02820.00030.0360-0.00240.03780.03850.02840.0283
70.03890.02820.02550.02840.00020.0370-0.00190.03900.03890.02860.0286
80.03920.02840.02570.02850.00010.0380-0.00120.04010.03930.02870.0289
90.03940.02870.02600.0287-0.00000.0390-0.00040.04010.03950.02890.0291
100.03960.03980.02890.02940.02620.02670.0288-0.00010.04000.00040.04010.03970.02910.0294
110.03980.02920.02650.0289-0.00020.04010.00030.04010.03980.02920.0297
120.03980.02940.02670.0291-0.00030.04010.00030.04010.03990.02940.0299
130.03990.02960.02690.0292-0.00040.04010.00020.04010.04000.02950.0302
140.04000.02980.02710.0294-0.00040.04010.00010.04010.04010.02970.0304
150.04000.04010.03000.03020.02730.02750.0295-0.00050.04010.00010.04010.04010.02980.0305
160.04000.03010.02740.0296-0.00050.04010.00010.04010.04010.03000.0307
170.04010.03020.02750.0298-0.00050.04010.00000.04010.04010.03010.0309
180.04010.03040.02770.0299-0.00040.04010.00000.04010.04020.03030.0310
190.04010.03050.02780.0301-0.00040.04010.00000.04010.04020.03040.0311
200.04010.04010.03060.03070.02790.02800.0302-0.00040.04010.00000.04010.04020.03060.0312
210.04010.03070.02800.0303-0.00030.04010.00000.04010.04020.03080.0313
220.04010.03070.02800.0305-0.00020.04010.00000.04010.04020.03090.0314
230.04010.03080.02810.0306-0.00020.0401-0.00000.04010.04020.03110.0315
240.04010.03090.02820.0308-0.00010.0401-0.00000.04010.04020.03120.0315
250.04010.04010.03090.03100.02820.02830.0309-0.00000.0401-0.00000.04010.04020.03140.0316
260.04010.03100.02830.03100.00010.0401-0.00000.04010.04020.03150.0316
270.04010.03100.02830.03120.00020.0401-0.00000.04010.04020.03170.0317
280.04010.03100.02830.03130.00030.0401-0.00000.04010.04020.03180.0317
290.04010.03110.02840.03150.00040.0401-0.00000.04010.04020.03200.0318
300.04010.03110.02840.03160.00050.0401-0.00000.04010.04020.03220.0318
rnicarnica
lambda starz wykres interp
CO2
CO2 wielomian
CO2 liniowe
CP met tradyc
CP wielomian
CP liniowe
czas w latach
warto l50 w W/mK
zmiana l50 izolacji w funkcji czasu
0.031CP=0.0275czas eksploatacji:
CPliniow CP
00.03100.03100.02750.02750.0245
10.03310.03210.02750.02770.0245
20.03480.03330.02760.02780.0245
30.03610.03440.02770.02800.0246
40.03720.03560.02780.02810.0246
50.03800.03670.02800.02830.0246
60.03860.03780.02830.02840.0246
70.03900.03900.02860.02860.0246
80.03940.04010.02890.02870.0246
90.03960.04030.02910.02890.0247
100.03980.04030.02940.02910.0247
110.03990.04030.02970.02920.0247
120.04000.04030.02990.02940.0247
130.04010.04030.03020.02950.0247
140.04020.04030.03040.02970.0247
150.04020.04030.03050.02980.0248
160.04020.04030.03070.03000.0248
170.04020.04030.03090.03010.0248
180.04030.04030.03100.03030.0248
190.04030.04030.03110.03040.0248
200.04030.04030.03120.03060.0248
210.04030.04030.03130.03080.0249
220.04030.04030.03140.03090.0249
230.04030.04030.03150.03110.0249
240.04030.04030.03150.03120.0249
250.04030.04030.03160.03140.0249
260.04030.04030.03160.03150.0249
270.04030.04030.03170.03170.0250
280.04030.04030.03170.03180.0250
290.04030.04030.03180.03200.0250
300.04030.04030.03180.03220.0250
0000
1111
2222
3333
4444
5555
6666
7777
8888
9999
10101010
11111111
12121212
13131313
14141414
15151515
16161616
17171717
18181818
19191919
20202020
21212121
22222222
23232323
24242424
25252525
26262626
27272727
28282828
29292929
30303030
CO2
CP met tradyc
CP trad apr. liniowa
CO2 apr. biliniowa
axial conti
lata
wspoczynnik przewodzenia ciepa W/mK
zmiana wspczynnika przewodzenia ciepa izolacji PUR w funkcji czasu eksploatacji
-
Zmiana czynnika pienicego i zjawisko dyfuzjiW wyniku starzenia si izolacji w skali 30 lat stosowanie:Cyklopentanu zamiast CO2 daje oszczdnoci strat ciepa o ok. 18%,Zastosowanie bariery antydyfuzyjnej w rurach preizolowanych pienionych cyklopentanem daje kolejne 9%.
Chart1
0.03104688220.02749298250.02750.0310.0245
0.03309932130.02750699710.0276550.032140.024517
0.03477774440.02756407270.027810.033280.024534
0.03611456090.02767378550.0279650.034420.024551
0.03715709330.02783691310.028120.035560.024568
0.0379568410.02804780750.0282750.03670.024585
0.03856262510.02829627710.028430.037840.024602
0.03901710140.02856979090.0285850.038980.024619
0.03935561120.02885561320.028740.040120.024636
0.03960639260.02914243170.0288950.04029905420.024653
0.0397914420.02942127810.029050.04029905420.02467
0.0399275870.02968579160.0292050.04029905420.024687
0.04002753510.02993202330.029360.04029905420.024704
0.04010079330.03015799890.0295150.04029905420.024721
0.04015442630.0303632160.029670.04029905420.024738
0.04019365780.03054817860.0298250.04029905420.024755
0.04022233720.03071401750.029980.04029905420.024772
0.04024329290.03086220640.0301350.04029905420.024789
0.04025860.03099436330.030290.04029905420.024806
0.04026977840.03111211970.0304450.04029905420.024823
0.04027794010.03121704140.03060.04029905420.02484
0.04028389850.03131058360.0307550.04029905420.024857
0.04028824810.03139407060.030910.04029905420.024874
0.04029142290.03146869030.0310650.04029905420.024891
0.04029374020.0315354970.031220.04029905420.024908
0.04029543140.03159542090.0313750.04029905420.024925
0.04029666580.03164927810.031530.04029905420.024942
0.04029756670.0316977830.0316850.04029905420.024959
0.04029822420.03174155980.031840.04029905420.024976
0.0402987040.03178115350.0319950.04029905420.024993
0.04029905420.03181703980.032150.04029905420.02501
CO2
CP met tradyc
CP trad apr. liniowa
CO2 apr. biliniowa
axial conti
lata
wspoczynnik przewodzenia ciepa W/mK
zmiana wspczynnika przewodzenia ciepa izolacji PUR w funkcji czasu eksploatacji
ceny jednostk
standardplusrnica %
26,9/ 90314.6398.220.9944751381
33,7/ 90336.6414.1518.7250996016
42,4/110418.55489.514.4943820225
48,3/110439.45503.812.7729257642
60,3/125548.35647.915.3650254669
76,1/140691.9782.111.5330520394
88,9/160845.351020.2517.1428571429
114,3/2001141.81278.7510.7096774194
139,7/2251358.51521.8510.7336465486
168,3/2501693.451922.2511.9027181688
219,1/3152456.32869.914.4116519739
273,0/4003142.153754.316.305303252314.4350464806
323,9/4503966.054606.813.9087870105
406,4/5205529.76136.359.8861701174
457,2/5606178.158334.725.8743566055
508,0/6307462.49968.7525.1420689655
rednia15.6188873273
male
standard/standardplus/standardplus/plus
0493.0506.5520.0
2537.0545.8556.7
4578.6582.9591.2
6617.7617.8623.8
8654.7650.8654.6
10689.6682.0683.6
12722.6711.4711.0
14753.6739.1736.9
16783.0765.3761.3
18810.7790.0784.3
20836.8813.3806.0
22861.4835.3826.5
24884.7856.1845.9
26906.6875.7864.1
28927.3894.1881.4
30946.9911.6897.6
male
standard/standard
plus/standard
plus/plus
czs eksploatacji
cakowite koszty koszty w ty z
cakowite koszty inwestycji w okresie 20 lat eksploatacji dla rnych rodzajw izolacji DN50-DN200
DN700
standard/standardplus/standardplus/plus
04355.04602.94978.0
24540.14755.15112.1
44714.84898.65238.7
64879.75034.15358.1
85035.25162.05470.8
105182.05282.75577.2
125320.55396.55677.5
145451.35504.05772.2
165574.65605.45861.6
185691.15701.05946.0
205800.95791.36025.6
225904.65876.56100.7
246002.45956.96171.5
266094.76032.86238.4
286181.96104.46301.6
306264.16172.06361.1
DN700
standard/standard
plus/standard
plus/plus
czs eksploatacji
cakowite koszty koszty w ty z
cakowite koszty inwestycji w okresie 30 lat eksploatacji dla rnych rodzajw izolacji DN700
starzenie pianki
interpolacja Iwko
pienienie CPCP
00.03130.02750.03070.0275
70.03260.02850.03310.0290
140.03330.03010.03450.0295
280.03670.03030.03620.0301
560.03920.03820.0309
580.03110.03830.0309
840.03920.03930.0313
1080.03110.03990.0317
1720.03290.04090.0323
Richards Model:Exponential Association (3): y=a(b-exp(-cx))
MMF Model: y=(a*b+c*x^d)/(b+x^d)y=a/(1+exp(b-cx)^(1/d))y=a(b-exp(-cx))
Coefficient Data:Coefficient Data:Coefficient Data:
a =0.0306649910.0274584370.0390513210.0092518694
b =23.82433915.4128684.1459964.3497019
c =0.043961030.0379617260.112936150.028801385
d =0.853115120.4974079818.335231
00.0306649910.0274584370.03110.0310
50.03255481950.02878433210.03210.0322
100.03372772990.02923770450.03300.0333
150.03461723450.02955589920.03400.0342
200.03533082030.02980643910.03500.0350
250.035922350.03001497680.03590.0357
300.03642389550.03019444540.03670.0363
350.03685639170.03035240740.03740.0369
400.03723433860.03049371720.03790.0373
450.03756821430.03062169970.03840.0377
500.03786583760.03073874310.03860.0381
550.03813319450.03084662710.03880.0383
600.03837496450.03094671730.03890.0386
650.03859486990.03104008650.03900.0388
700.0387959170.03112759450.03900.0390
750.03898056440.03120994190.03900.0392
800.03915084650.03128770780.03900.0393
850.0393084630.03136137660.03900.0394
900.03945484730.03143135850.03900.0396
950.03959121720.03149800340.03900.0396
1000.03971861550.0315616130.03900.0397
1050.03983794080.03162244890.03910.0398
1100.03994997220.03168073990.03910.0399
1150.04005538870.03173668710.03910.0399
1200.04015478530.03179046820.03910.0400
1250.0402486860.03184224140.03910.0400
1300.0403375540.03189214770.03910.0400
1350.04042180040.03194031380.03910.0401
1400.04050179180.03198685370.03910.0401
1450.0405778560.03203187040.03910.0401
1500.04065028710.03207545730.03910.0401
1550.04071934990.03211769950.03910.0401
1600.04078528340.03215867470.03910.0402
1650.04084830410.03219845380.03910.0402
1700.04090860840.03223710210.03910.0402
1750.04096637520.03227467950.03910.0402
gaz[W/mK]
c-pentan0.0130
0.0175
0.0270
0.0270
starzenie pianki
pienienie CO2
pienienie CP
czas starzenia w dniach
wspczynnik przewodzenia ciepa izolacji PUR l50 [W/mK]
zmiana wspczynnika przewodzenia ciepa l50 w fynkcji czasu dla temperatury starzenia 800C
starzenie interpol
pienienie CO2
pienienie CP
czas starzenia rury f60.3/125 w dniach
wspczynnik przewodzenia ciepa izolacji PUR l50 [W/mK]
zmiana wspczynnika przewodzenia ciepa l50 w funkcji czasu dla temperatury starzenia 800C
lambda starz wykres interp
Logistic Model: y=a/(1+b*exp(-cx))MMF Model: y=(a*b+c*x^d)/(b+x^d)CP linioweCP wielomianLinear Fit: y=a+bx
Coefficient Data:Coefficient Data:aproksymacja linioway=a+bxy = a/(1+b*exp(-cx))y=a+bxy=(a+c*x^d)/(b+x^d)Coefficient Data:
a =0.040110594a =0.027205614Linear Fit: y=a+bxa =0.02708845
b =0.29903149b =341.23761cyklopentanCO2a=0,031a=0,04020.0275a=9,3ab =0.00016520468
c =0.31821798c =0.031553116a =0.0274a =0.03b=0,00114b=0,2990.000155b=342,0brozpatrywany okres w latach
d =2.3568527b =0.00014b =0.001c=0,315c=0,032cCP metoda tradycyjnaCP metoda contiCP bariera antydyfuzyjna
CO2CP met tradycCP met. ContiCP trad apr. liniowaCO2 apr. biliniowad=2,36d
00.03090.03430.02720.02730.02450.02460.02740.00020.0300-0.00090.03100.03090.02750.02750-40.03430.02750.02450.0250
10.03290.02720.02450.02750.00030.0310-0.00190.03210.03300.02770.02755-90.03870.02850.02550.0250
20.03460.02730.02460.02770.00040.0320-0.00260.03330.03470.02780.027610-140.03980.02940.02670.0250
30.03600.02740.02470.02780.00050.0330-0.00300.03440.03600.02800.027715-190.04010.03020.02750.0250
40.03700.02750.02480.02800.00040.0340-0.00300.03560.03710.02810.027820-240.04010.03070.02800.0250
50.03780.03870.02770.02820.02500.02550.02810.00040.0350-0.00280.03670.03790.02830.028025-300.04010.03100.02830.0250
60.03840.02790.02520.02820.00030.0360-0.00240.03780.03850.02840.0283
70.03890.02820.02550.02840.00020.0370-0.00190.03900.03890.02860.0286
80.03920.02840.02570.02850.00010.0380-0.00120.04010.03930.02870.0289
90.03940.02870.02600.0287-0.00000.0390-0.00040.04010.03950.02890.0291
100.03960.03980.02890.02940.02620.02670.0288-0.00010.04000.00040.04010.03970.02910.0294
110.03980.02920.02650.0289-0.00020.04010.00030.04010.03980.02920.0297
120.03980.02940.02670.0291-0.00030.04010.00030.04010.03990.02940.0299
130.03990.02960.02690.0292-0.00040.04010.00020.04010.04000.02950.0302
140.04000.02980.02710.0294-0.00040.04010.00010.04010.04010.02970.0304
150.04000.04010.03000.03020.02730.02750.0295-0.00050.04010.00010.04010.04010.02980.0305
160.04000.03010.02740.0296-0.00050.04010.00010.04010.04010.03000.0307
170.04010.03020.02750.0298-0.00050.04010.00000.04010.04010.03010.0309
180.04010.03040.02770.0299-0.00040.04010.00000.04010.04020.03030.0310
190.04010.03050.02780.0301-0.00040.04010.00000.04010.04020.03040.0311
200.04010.04010.03060.03070.02790.02800.0302-0.00040.04010.00000.04010.04020.03060.0312
210.04010.03070.02800.0303-0.00030.04010.00000.04010.04020.03080.0313
220.04010.03070.02800.0305-0.00020.04010.00000.04010.04020.03090.0314
230.04010.03080.02810.0306-0.00020.0401-0.00000.04010.04020.03110.0315
240.04010.03090.02820.0308-0.00010.0401-0.00000.04010.04020.03120.0315
250.04010.04010.03090.03100.02820.02830.0309-0.00000.0401-0.00000.04010.04020.03140.0316
260.04010.03100.02830.03100.00010.0401-0.00000.04010.04020.03150.0316
270.04010.03100.02830.03120.00020.0401-0.00000.04010.04020.03170.0317
280.04010.03100.02830.03130.00030.0401-0.00000.04010.04020.03180.0317
290.04010.03110.02840.03150.00040.0401-0.00000.04010.04020.03200.0318
300.04010.03110.02840.03160.00050.0401-0.00000.04010.04020.03220.0318
rnicarnica
lambda starz wykres interp
CO2
CO2 wielomian
CO2 liniowe
CP met tradyc
CP wielomian
CP liniowe
czas w latach
warto l50 w W/mK
zmiana l50 izolacji w funkcji czasu
0.031CP=0.0275czas eksploatacji:
CPliniow CP
00.03100.03100.02750.02750.0245
10.03310.03210.02750.02770.0245
20.03480.03330.02760.02780.0245
30.03610.03440.02770.02800.0246
40.03720.03560.02780.02810.0246
50.03800.03670.02800.02830.0246
60.03860.03780.02830.02840.0246
70.03900.03900.02860.02860.0246
80.03940.04010.02890.02870.0246
90.03960.04030.02910.02890.0247
100.03980.04030.02940.02910.0247
110.03990.04030.02970.02920.0247
120.04000.04030.02990.02940.0247
130.04010.04030.03020.02950.0247
140.04020.04030.03040.02970.0247
150.04020.04030.03050.02980.0248
160.04020.04030.03070.03000.0248
170.04020.04030.03090.03010.0248
180.04030.04030.03100.03030.0248
190.04030.04030.03110.03040.0248
200.04030.04030.03120.03060.0248
210.04030.04030.03130.03080.0249
220.04030.04030.03140.03090.0249
230.04030.04030.03150.03110.0249
240.04030.04030.03150.03120.0249
250.04030.04030.03160.03140.0249
260.04030.04030.03160.03150.0249
270.04030.04030.03170.03170.0250
280.04030.04030.03170.03180.0250
290.04030.04030.03180.03200.0250
300.04030.04030.03180.03220.0250
0000
1111
2222
3333
4444
5555
6666
7777
8888
9999
10101010
11111111
12121212
13131313
14141414
15151515
16161616
17171717
18181818
19191919
20202020
21212121
22222222
23232323
24242424
25252525
26262626
27272727
28282828
29292929
30303030
CO2
CP met tradyc
CP trad apr. liniowa
CO2 apr. biliniowa
axial conti
lata
wspoczynnik przewodzenia ciepa W/mK
zmiana wspczynnika przewodzenia ciepa izolacji PUR w funkcji czasu eksploatacji
-
Zmiana parametrw pracy sieci ciepowniczejAnaliza porwnawcza sieci cieplnej:Moc cieplna kotowni13 MW
dane bez wzw
rednica nominalnadugo sieci
wys. par.niski par.
parametry pracy32678.00.0
wysokiniski40153.0182.0
temperatura zasilania1300C800C50405.0737.0
temperatura powrotu800C600C65723.0583.0
temperatura gruntu80C80C80263.0460.0
cena energii 1 GJ$34$34100165.0324.0
koszty materiaw574.0766.0125180.0139.0
koszty wykonawstwa1044.21370.8150204.0180.0
koszty wzw200298.0124.0
koszty razem1618.22136.82500.0372.0
straty bez wzw
koszty cakowite inwestycji bez wzw w funkcji czasu eksploatacji
wysoki parametr 130/80niski parametr 80/60
stan-stanplus-stanplus-plus2p-2pTwinPipestan-stanplus-stanplus-plus2p-2pTwinPipe
01618.21694.91771.71919.41597.32136.82238.42340.02535.92111.8
11789.31847.51914.62042.91709.22256.72346.12439.62621.52189.7
21955.51995.72053.52163.01817.92373.22450.82536.32704.72265.3
32116.92139.62188.42279.61923.52486.42552.42630.32785.62338.8
42273.82279.42319.52392.92026.12596.32651.22721.62864.12410.2
52426.12415.32446.82502.92125.72703.22747.12810.32940.42479.6
62574.12547.22570.52609.82222.62806.92840.32896.53014.42547.0
72717.92675.42690.62713.62316.62907.72930.82980.13086.42612.4
82857.52799.92807.32814.52408.03005.63018.83061.53156.32676.0
92993.22920.92920.72912.52496.73100.73104.23140.43224.32737.7
103125.03038.43030.83007.72582.93193.13187.23217.23290.32797.7
113253.03152.53137.83100.22666.73282.93267.83291.73354.42856.0
123377.43263.43241.83190.02748.03370.03346.13364.13416.62912.7
133498.23371.13342.73277.32827.03454.73422.23434.43477.12967.7
143615.63475.83440.83362.12903.83537.03496.13502.73535.93021.1
153729.63577.43536.13444.42978.43616.93567.93569.13592.93073.0
163840.43676.23628.63524.43050.83694.63637.63633.63648.43123.4
173948.03772.13718.53602.13121.23770.03705.43696.23702.33172.4
184052.53865.33805.93677.63189.63843.33771.23757.13754.63220.0
194154.03955.83890.73750.93256.03914.53835.13816.23805.43266.2
204252.64043.83973.13822.23320.53983.63897.23873.63854.83311.1
wykres bez wzw
wykres bez wzw
1618.21719257092136.7886816511
1789.29780551472256.7216231982
1955.49040094582373.2279092725
2116.93463650742486.4054443161
2273.76617962442596.3493355013
2426.11682150962703.1519726527
2574.11458791222806.9031058855
2717.88384670342907.6899210258
2857.54541238633005.5971128765
2993.21664762113100.7069563886
3125.01156184913193.0993758003
3253.04090709933282.8520118003
3377.41227105653370.0402867717
3498.23016747223454.7374681725
3615.59612399023537.0147301047
3729.60876746493616.9412131245
3840.36390684023694.5840823438
3947.9546136623770.0085838711
4052.4713002893843.2780996405
4154.00179586943914.4542006736
4252.63142014753983.59669882
'wysoki parametr izol standard'
'niski parametr izol standard'
czas eksploatacji [lata]
koszty cakowite [ty z]
cakowite koszty inwestycji w funkcji czasu eksploatacji
dane z wzami
rednica nominalnadugo sieci
wys. par.niski par.
parametry pracy32678.00.0
wysokiniski40153.0182.0
temperatura zasilania1300C800C50405.0737.0
temperatura powrotu800C600C65723.0583.0
temperatura gruntu80C80C80263.0460.0
cena energii 1 GJ$34$34100165.0324.0
koszty materiaw574.0766.0125180.0139.0
koszty wykonawstwa1044.21370.8150204.0180.0
koszty wzw1295.0850.0200298.0124.0
koszty razem2913.22986.82500.0372.0
straty z wzami
koszty cakowite inwestycji bez wzw w funkcji czasu eksploatacji
wysoki parametr 130/80niski parametr 80/60
stan-stanplus-stanplus-plus2p-2pTwinPipestan-stanplus-stanplus-plus2p-2pTwinPipe
02913.22989.93066.73214.42892.32986.83088.43190.03385.92961.8
13084.33142.53209.63337.93004.23106.73196.13289.63471.53039.7
23250.53290.73348.53458.03112.93223.23300.83386.33554.73115.3
33411.93434.63483.43574.63218.53336.43402.43480.33635.63188.8
43568.83574.43614.53687.93321.13446.33501.23571.63714.13260.2
53721.13710.33741.83797.93420.73553.23597.13660.33790.43329.6
63869.13842.23865.53904.83517.63656.93690.33746.53864.43397.0
74012.93970.43985.64008.63611.63757.73780.83830.13936.43462.4
84152.54094.94102.34109.53703.03855.63868.83911.54006.33526.0
94288.24215.94215.74207.53791.73950.73954.23990.44074.33587.7
104420.04333.44325.84302.73877.94043.14037.24067.24140.33647.7
114548.04447.54432.84395.23961.74132.94117.84141.74204.43706.0
124672.44558.44536.84485.04043.04220.04196.14214.14266.63762.7
134793.24666.14637.74572.34122.04304.74272.24284.44327.13817.7
144910.64770.84735.84657.14198.84387.04346.14352.74385.93871.1
155024.64872.44831.14739.44273.44466.94417.94419.14442.93923.0
165135.44971.24923.64819.44345.84544.64487.64483.64498.43973.4
175243.05067.15013.54897.14416.24620.04555.44546.24552.34022.4
185347.55160.35100.94972.64484.64693.34621.24607.14604.64070.0
195449.05250.85185.75045.94551.04764.54685.14666.24655.44116.2
205547.65338.85268.15117.24615.54833.64747.24723.64704.84161.1
wykres z wzami
wykres z wzami
2913.21719257092986.7886816511
3084.29780551473106.7216231982
3250.49040094583223.2279092725
3411.93463650743336.4054443161
3568.76617962443446.3493355013
3721.11682150963553.1519726527
3869.11458791223656.9031058855
4012.88384670343757.6899210258
4152.54541238633855.5971128765
4288.21664762113950.7069563886
4420.01156184914043.0993758003
4548.04090709934132.8520118003
4672.41227105654220.0402867717
4793.23016747224304.7374681725
4910.59612399024387.0147301047
5024.60876746494466.9412131245
5135.36390684024544.5840823438
5242.9546136624620.0085838711
5347.4713002894693.2780996405
5449.00179586944764.4542006736
5547.63142014754833.59669882
'wysoki parametr izol standard'
'niski parametr izol standard'
czas eksploatacji [lata]
koszty cakowite [t